Question

Which equation relates x and y for the set of ordered pairs (4,1), (8, 2), and (12,3)?

A) y = 2x
B) y = 4x
C) y = x - 3
D) y = x - 9

Answer 1

The equation that relates x and y for the set of ordered pairs (4,1), (8,2), and (12,3) is y = x - 3 (Option C).

Step-by-step explanation:

The equation that relates x and y for the set of ordered pairs (4,1), (8,2), and (12,3) is y = x - 3 (Option C).

To determine the equation that relates x and y, we can use the formula for the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

Substituting the values from the ordered pairs into the equation, we get: 1 = 4m + b, 2 = 8m + b, and 3 = 12m + b. Solving this system of equations, we find that m = 1 and b = -3, leading to the equation y = x - 3 (Option C).